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Finding the Fourth Proportional to 7,036.70, 9,701.86 and 5,146.78

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Solution

The fourth proportional to 7,036.70, 9,701.86 and 5,146.78 is: 7,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.70 : 9,701.86 = 5,146.78 : x
  2. Step 2: Convert to fraction form
    7,036.70/9,701.86 = 5,146.78/x
  3. Step 3: Cross multiply
    7,036.70x = 9,701.86 × 5,146.78
  4. Step 4: Simplify right side
    7,036.70x = 49,933,339.01
  5. Step 5: Solve for x
    x = 49,933,339.01/7,036.70
  6. Step 6: Final answer
    x = 7,096.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.